Let f(x) =5r +8. Write a function g whose graph is a horizontal shrink of the graph of f by a factor of 1/5

Question

Let f(x) =5x+8. Write a function g whose graph is a horizontal shrink of the graph of f by a factor of 1/5

Answer 1

For a horizontal shrink for a function f(x), all the x values in f(x) need to be replaced with 5x.

f(x) = 5x + 8

Shrink f(x) horixontally by 1/5

new f(x) = 5*(5x) + 8

= 25x + 8

Whenever dealing with horizontal modifications of a function, those changes are applied only to x. Whenever dealing with vertical modifications of a function, those changes are applied only to y, but since y (or f(x) ) = everything on the entire other side of the equation, the modifications will need to be done to the entire side of the equation, not just the x's.

Hope this helps!